Exploring Adding and Subtracting Rational Expressions

This video tutorial covers solving two-step inequalities, similar to two-step equations but with inequality symbols. It emphasizes the importance of flipping the inequality sign when multiplying or dividing by a negative number. The tutorial includes multiple examples, each solved step-by-step, and provides practice problems for viewers to try on their own. The video also explores solutions with two inequalities and how to verify their validity.

What is the main difference between two-step equations and two-step inequalities?

• Two-step equations involve only addition and subtraction, while two-step inequalities involve multiplication and division.

• Two-step equations have an equal sign, while two-step inequalities have an inequality symbol.

• Two-step equations do not require graphing, while two-step inequalities do.

• Two-step equations are solved in one step, while two-step inequalities are solved in two steps.

What must you do when you multiply or divide both sides of an inequality by a negative number?

• Subtract the same number from both sides.

• Keep the inequality symbol the same.

• Add the same number to both sides.

• Flip the inequality symbol.

In the inequality 3n + 3 ≥ 30, what is the value of n after solving?

• n ≤ 10

• n ≥ 10

• n ≥ 9

• n ≤ 9

When graphing the solution n ≥ 9, what type of circle is used and in which direction is it shaded?

• Open circle, shaded to the left

• Closed circle, shaded to the left

• Open circle, shaded to the right

• Closed circle, shaded to the right

In the inequality 17 ≤ -2n - 3, what is the value of n after solving?

• n ≤ -10

• n ≥ -10

• n ≤ 10

• n ≥ 10

For the inequality -19 < -5 - 2y, what is the value of y after solving?

• y ≥ 7

• y < 7

• y > 7

• y ≤ 7

In the inequality -y - 2 ≥ -13, what is the value of y after solving?

• y > 11

• y < 11

• y ≥ 11

• y ≤ 11

For the inequality 6 < x/2 - 2, what is the value of x after solving?

• x > 14

• x < 14

• x > 16

• x < 16

When checking the solution for the inequality 4m - 2 ≤ 30, which of the following values is a true solution?

• m = 8

• m = 9

• m = 11

• m = 10

In the inequality 4 - 4n ≤ 16, which of the following values is NOT a true solution?

• n = -5

• n = -4

• n = -2

• n = -3